Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/741, 489/902, 191/882 quickly i.e. 5136945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/741, 489/902, 191/882 is 5136945.
LCM(55/741, 489/902, 191/882) = 5136945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/741,489/902,191/882
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 55,489,191
Least Common Multiple of Numerators i.e. LCM of 55,489,191 is 5136945.
GCF of Denominators means GCF of 741,902,882 as per the given fractions.
GCF of 741,902,882 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,489,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 5136945
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 55,489,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,489,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,489,191) x common factors =1 x 1 = 1
LCM(55,489,191) = ( 55 × 489 × 191 ) / 1
LCM(55,489,191) = 5136945 / 1
LCM(55,489,191) = 5136945
Lets's calculate GCF of 741,902,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5136945/1
Therefore the LCM of Fractions 55/741,489/902,191/882 is 5136945
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 741,902,882 . The biggest common factor number is the GCF number.
So the greatest common factor 741,902,882 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 55/741, 489/902, 191/882?
Answer: LCM of Numerators as per given numbers 55/741, 489/902, 191/882 is
LCM of Numerators i.e. for 55,489,191 is 5136945
GCF of denominators i.e. for 741,902,882 is 1.
Thus, LCM of Fractions is 5136945.Finally, LCM of Fractions for 55/741, 489/902, 191/882 is 5136945.